We show that, under mild conditions, T-periodic retarded functional motion equations on even-dimensional spheres admit forced oscillations. In this way we extend analogous results for the undelayed case due to the last two authors. A crucial role in our argument is played by a quite general continuation result, obtained in a recent paper, for forced oscillations of retarded functional motion equations on compact topologically nontrivial boundaryless manifolds.

On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force / P. Benevieri; A. Calamai; M. Furi; M.P. Pera. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 23(2011), pp. 341-349. [10.1007/s10884-010-9201-2]

On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force

BENEVIERI, PIERLUIGI;FURI, MASSIMO;PERA, MARIA PATRIZIA
2011

Abstract

We show that, under mild conditions, T-periodic retarded functional motion equations on even-dimensional spheres admit forced oscillations. In this way we extend analogous results for the undelayed case due to the last two authors. A crucial role in our argument is played by a quite general continuation result, obtained in a recent paper, for forced oscillations of retarded functional motion equations on compact topologically nontrivial boundaryless manifolds.
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341
349
Goal 17: Partnerships for the goals
P. Benevieri; A. Calamai; M. Furi; M.P. Pera
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/393043
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